Puzzle: Octahedron, Face Cut, Type B, 4th Order
Abbreviation: Octa FB4
Commonly Known As: Nothing (Professor Skewb dual)

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Corner 6 3 3, Fixed Even None
Edge 24 2 None Even None
Corner Face 24 1 None Even 2
Edge Face 24 1 None Even 2
Center Face 24 1 None Even 2
Center 8 1 None Even 2

Move Types
Type Layer Period Pieces Affected Total Parity
Face 1 3 1 corner 3-cyc, 2 edge 3-cyc, 1 center 3-cyc,
3 corner face 3-cyc, 2 edge face 3-cyc,
3 center face 3-cyc
Even
Face 2 3 2 edge 3-cyc, 1 corner face 3-cyc,
2 edge face 3-cyc, 1 center face 3-cyc
Even

Suggested Solving Orders

By Piece Type
1. Solve corners and center as on Octa FB2
2. Solved edges
3. Solve corner faces
4. Solve edge faces
5. Solve center faces

Important Issues and Notes
The face pieces are name by which other piece they are adjacent to. The last four steps all use a form of a basic 8-move commutator, and they all all pure sequences, so these steps can be mixed around in any way.

Useful Algorithms

In step 1, three cycle corners (DFN): (R+ U+ R-) D+ (R+ U- R-) D-
In step 1, twist two corners (DFN): (R+ U+ R- U- R+ U+ R-) D+ (R+ U- R- U+ R+ U- R-) D-
In step 2, three cycle edges (DFN): (R+ u+ R-) d+ (R+ u- R-) d-
In step 2, three cycle edges (DFN): (R+ U+ R-) u+ (R+ U- R-) u-
In step 3, three cycle corner faces (DFN): (R+ u+ R-) D+ (R+ u- R-) D-
In step 4, three cycle edge faces (DFN): (r+ d+ r-) D+ (r+ d- r-) D-
In step 5, three cycle center faces (DFN): (F+ u+ F-) U+ (F+ u- F-) U-